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Finding the Fourth Proportional to 202,027.32, 302,975.37 and 95,394.78

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Solution

The fourth proportional to 202,027.32, 302,975.37 and 95,394.78 is: 143,061.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,027.32 : 302,975.37 = 95,394.78 : x
  2. Step 2: Convert to fraction form
    202,027.32/302,975.37 = 95,394.78/x
  3. Step 3: Cross multiply
    202,027.32x = 302,975.37 × 95,394.78
  4. Step 4: Simplify right side
    202,027.32x = 28,902,268,766.57
  5. Step 5: Solve for x
    x = 28,902,268,766.57/202,027.32
  6. Step 6: Final answer
    x = 143,061.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.